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Finding the Fourth Proportional to 812, 1,120.78 and 532.94

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Solution

The fourth proportional to 812, 1,120.78 and 532.94 is: 735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    812 : 1,120.78 = 532.94 : x
  2. Step 2: Convert to fraction form
    812/1,120.78 = 532.94/x
  3. Step 3: Cross multiply
    812x = 1,120.78 × 532.94
  4. Step 4: Simplify right side
    812x = 597,308.49
  5. Step 5: Solve for x
    x = 597,308.49/812
  6. Step 6: Final answer
    x = 735.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.